I would like to ask about the impact of cross loadings in a multiple indicator growth model.

An set of measures under a CFA showed a five factor model.If there are cross loadings of items between the factors, what would be the implication of running a multiple indicator growth model using one of the factors. However this factor's items might load on another factor in the CFA,but that factor is not explicity included in the growth model?

For example, 10 items load on one factor , but 3 of those items might crossload on factor two. If one is looking to examine growth in factor one, using a growth model, what implications does the cross loadings have?

Because those 3 items load on a second factor, using one factor implies that the residuals of those 3 items are correlated (they correlate beyond a single factor). See Modification Indices. You could include those residual correlations.